Answered

A biologist was testing two types of seeds and counted how many germinated. The results are shown in the table.

What percentage of each type germinated? Which seeds had the better rate of germination?

\begin{tabular}{|c|c|c|}
\hline & \multicolumn{2}{|c|}{Number of seeds} \\
\hline & Planted & Germinated \\
\hline Type A & 50 & 42 \\
\hline Type B & 80 & 56 \\
\hline
\end{tabular}



Answer :

GinnyAnswer
Certainly! Let's go through the steps to determine the percentage of seeds that germinated for each type and identify which type had a better germination rate.

### Step-by-Step Solution

1. Identify the initial data:
- For Type A seeds:
- Planted: [tex]\( 50 \)[/tex]
- Germinated: [tex]\( 42 \)[/tex]
- For Type B seeds:
- Planted: [tex]\( 80 \)[/tex]
- Germinated: [tex]\( 56 \)[/tex]

2. Calculate the germination percentage for Type A:
[tex]\[ \text{Percentage germinated for Type A} = \left( \frac{\text{Number of seeds germinated}}{\text{Number of seeds planted}} \right) \times 100 \][/tex]
Plugging in the numbers:
[tex]\[ \text{Percentage germinated for Type A} = \left( \frac{42}{50} \right) \times 100 = 84\% \][/tex]

3. Calculate the germination percentage for Type B:
[tex]\[ \text{Percentage germinated for Type B} = \left( \frac{\text{Number of seeds germinated}}{\text{Number of seeds planted}} \right) \times 100 \][/tex]
Plugging in the numbers:
[tex]\[ \text{Percentage germinated for Type B} = \left( \frac{56}{80} \right) \times 100 = 70\% \][/tex]

4. Compare the germination percentages:
- Germination percentage for Type A: [tex]\( 84\% \)[/tex]
- Germination percentage for Type B: [tex]\( 70\% \)[/tex]

5. Determine which type had a better germination rate:
- Since [tex]\( 84\% \)[/tex] (Type A) is greater than [tex]\( 70\% \)[/tex] (Type B), Type A had a better rate of germination.

### Summary
- The percentage of Type A seeds that germinated is [tex]\( 84\% \)[/tex].
- The percentage of Type B seeds that germinated is [tex]\( 70\% \)[/tex].
- Type A seeds had the better rate of germination.

Other Questions